On Some Hadamard-Type Inequalities for Differentiable m-Convex Functions
M. Emin Ozdemir, Ahmet Ocak Akdemir, Merve Avci
TL;DR
This paper establishes new inequalities related to m-convex functions, providing bounds for derivatives and applications to Hermite-Hadamard inequalities, expanding the theoretical framework for convex analysis.
Contribution
It introduces novel inequalities for m-convex functions' derivatives, enhancing existing bounds and offering new applications in convex analysis.
Findings
New bounds for derivatives of m-convex functions
Extended Hermite-Hadamard inequalities for m-convex functions
Applications to related theorems in convex analysis
Abstract
In this paper some new inequalities are proved related to left hand side of Hermite-Hadamard inequality for the classes of functions whose derivatives of absolute values are m-convex. New bounds and estimations are obtained. Applications for some Theorems are given as well.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results